Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of ini...
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| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
American Institute of Physics
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf http://irep.iium.edu.my/61797/ http://dx.doi.org/10.1063/1.4980866 |
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| Summary: | In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation
of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM).
The results are valid for small as well as large oscillation of initial amplitude. It is highly remarkable that using the
introduced technique a third-order approximate solution gives an excellent agreement with the exact ones. The introduced
technique is applied to the motion of a particle on a rotating parabola having high nonlinearity to illustrate its novelty,
reliability and wider applicability. |
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